TRANSITION TO CHAOS IN A CURVED CARBON NANOTUBE UNDER HARMONIC EXCITATION
2012 ◽
Vol 26
(32)
◽
pp. 1250210
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Keyword(s):
The chaotic behavior of a carbon nanotube with waviness along its axis is investigated. The equation of motion involves a quadratic and cubic terms due to the curved geometry and the mid-plane stretching. Melnikov method is applied for the system, and Melnikov criterion for global homoclinic bifurcations is obtained analytically. The numerical solution of the system using a fourth-order-Runge–Kutta method confirms the analytical predictions and shows that the transition from regular to chaotic motion is often associated with increasing the energy of an oscillator. Moreover, a detailed numerical study of the periodic attractor in the period window is also carried out.
Subharmonic Bifurcations and Transition to Chaos in a Pipe Conveying Fluid under Harmonic Excitation
2013 ◽
Vol 444-445
◽
pp. 791-795
2013 ◽
Vol 444-445
◽
pp. 796-800
2016 ◽
Vol 26
(05)
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pp. 1650085
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2009 ◽
Vol 42
(3)
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pp. 1860-1867
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Keyword(s):
2010 ◽
Vol 57
(4)
◽
pp. 765-771
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Keyword(s):
2017 ◽
Vol 28
(08)
◽
pp. 1750104
◽
Keyword(s):